Tank G is a cubical container of edge 29 cm. It is completely filled with water. Tank H is a rectangular tank measuring 64 cm by 22 cm by 26 cm. It is filled with water flowing from a tap at a rate of 0.7 ℓ per minute. 7 minutes later, the tap is turned off.
- Find the volume of water in Tank H after 7 minutes. Give your answer in litres.
- All the water in Tank G is then poured into Tank H without spilling. How much more water is needed to fill Tank H completely? Give your answer in litres.
(a)
Volume of water in Tank H filled by the tap
= 7 x 0.7
= 4.9 ℓ
Volume of water poured into the Tank H from Tank G
= 29 x 29 x 29
= 24389 mℓ
1000 mℓ = 1 ℓ
24389 mℓ = 24389 ÷ 1000 = 24.389 ℓ
Volume of Tank H
= 64 x 22 x 26
= 36608 mℓ
36608 mℓ = 36608 ÷ 1000 = 36.608 ℓ
Volume of more water to fill Tank H
= 36.608 - 24.389 - 4.9
= 7.319 ℓ
Answer(s): (a) 4.9 ℓ; (b) 7.319 ℓ